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Finding the Fourth Proportional to 48,814.30, 73,221.45 and 19,216

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Solution

The fourth proportional to 48,814.30, 73,221.45 and 19,216 is: 28,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,814.30 : 73,221.45 = 19,216 : x
  2. Step 2: Convert to fraction form
    48,814.30/73,221.45 = 19,216/x
  3. Step 3: Cross multiply
    48,814.30x = 73,221.45 × 19,216
  4. Step 4: Simplify right side
    48,814.30x = 1,407,023,383.20
  5. Step 5: Solve for x
    x = 1,407,023,383.20/48,814.30
  6. Step 6: Final answer
    x = 28,824

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.